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Title page for ETD etd-12052008-164538

Type of Document Dissertation
Author Escamilla Roa, Jesus
URN etd-12052008-164538
Title Implications of atmospheric neutrino data
Degree PhD
Department Physics
Advisory Committee
Advisor Name Title
David J. Ernst Committee Chair
Paul D. Sheldon Committee Member
Sait Umar Committee Member
Thomas J. Weiler Committee Member
Thomas W. Kephart Committee Member
  • neutrino oscillations
  • neutrino mass
  • neutrino mixing
  • atmospheric neutrinos
  • super kamiokande
Date of Defense 2008-07-14
Availability unrestricted
A new quantitative and numerically efficient model of the most recent, more finely

binned in energy, Super Kamiokande experiment is developed. By reproducing

an analysis of this data performed by the experimentalist, including the

restrictions of the atmospheric data on $ heta_{13}$, we are assured of

the accuracy of the model.

We combine this model, with models of the K2K, MINOS, and CHOOZ experiments,

to perform an analysis in which we utilize

the full three neutrino oscillation probabilities and a full three

neutrino treatment of the Earth MSW effect. We find that the SK atmospheric data provides the best

bound of $ heta_{13}$ from above while CHOOZ continues to provide the best

lower bound on negative $ heta_{13}$. This comes about because of the importance of

linear and higher terms in $ heta_{13}$, because in the region $L/E_

ugtrsim 10^4$

km/GeV the subdominant expansion is not convergent and linear and higher terms in $ heta_{13}$

become relatively more important,

and because the atmospheric data reaches into this region.

We show that the Earth MSW effect plays an important role in causing this

effect. We find a best fit value $ heta_{13}=-0.07^{+0.18}_{-0.11}$, assuming

no CP violation.

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